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Finding the Fourth Proportional to 9,319.84, 12,864.74 and 6,177.04

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Solution

The fourth proportional to 9,319.84, 12,864.74 and 6,177.04 is: 8,526.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.84 : 12,864.74 = 6,177.04 : x
  2. Step 2: Convert to fraction form
    9,319.84/12,864.74 = 6,177.04/x
  3. Step 3: Cross multiply
    9,319.84x = 12,864.74 × 6,177.04
  4. Step 4: Simplify right side
    9,319.84x = 79,466,013.57
  5. Step 5: Solve for x
    x = 79,466,013.57/9,319.84
  6. Step 6: Final answer
    x = 8,526.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.